Solve y=40^20*8^-3*18^-2/32

$$y = \frac { 40 ^ { 20 } \cdot 8 ^ { - 3 } \cdot 18 ^ { - 2 } } { 32 }$$

Solve for y

$$y=\frac{1677721600000000000000000000}{81}\approx 2.071261235 \cdot 10^{25}$$

Steps for Solving Linear Equation

Calculate 40 to the power of 20 and get 109951162777600000000000000000000.

$$y=\frac{109951162777600000000000000000000\times 8^{-3}\times 18^{-2}}{32}$$

Calculate 8 to the power of -3 and get \frac{1}{512}.

$$y=\frac{109951162777600000000000000000000\times \frac{1}{512}\times 18^{-2}}{32}$$

Multiply 109951162777600000000000000000000 and \frac{1}{512} to get 214748364800000000000000000000.

$$y=\frac{214748364800000000000000000000\times 18^{-2}}{32}$$

Calculate 18 to the power of -2 and get \frac{1}{324}.

$$y=\frac{214748364800000000000000000000\times \frac{1}{324}}{32}$$

Multiply 214748364800000000000000000000 and \frac{1}{324} to get \frac{53687091200000000000000000000}{81}.

$$y=\frac{\frac{53687091200000000000000000000}{81}}{32}$$

Express \frac{\frac{53687091200000000000000000000}{81}}{32} as a single fraction.

$$y=\frac{53687091200000000000000000000}{81\times 32}$$

Multiply 81 and 32 to get 2592.

$$y=\frac{53687091200000000000000000000}{2592}$$

Reduce the fraction \frac{53687091200000000000000000000}{2592} to lowest terms by extracting and canceling out 32.

$$y=\frac{1677721600000000000000000000}{81}$$

Assign y

$$y≔\frac{1677721600000000000000000000}{81}$$